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Simplifying (x + -4)(x + -9) = 0 Reorder the terms: (-4 + x)(x + -9) = 0 Reorder the terms: (-4 + x)(-9 + x) = 0 Multiply (-4 + x) * (-9 + x) (-4(-9 + x) + x(-9 + x)) = 0 ((-9 * -4 + x * -4) + x(-9 + x)) = 0 ((36 + -4x) + x(-9 + x)) = 0 (36 + -4x + (-9 * x + x * x)) = 0 (36 + -4x + (-9x + x2)) = 0 Combine like terms: -4x + -9x = -13x (36 + -13x + x2) = 0 Solving 36 + -13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {4, 9}
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